Topology of linked defects in condensed matter

DOI10.1007/BF01211760zbMath0588.57009MaRDI QIDQ1073395

M. I. Monastyrskij, Vladimir S. Retakh

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

conservation lawslinked singularities in condensed matterlinking invariants

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82B99)

Related Items (13)

Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ Invariants of magnetic lines for Yang-Mills solutions ⋮ Reshetikhin’s formula for the Jones polynomial of a link: Feynman diagrams and Milnor’s linking numbers ⋮ A proposal for detecting second order topological quantum phase ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ On a higher integral invariant for closed magnetic lines, revisited ⋮ Asymptotic Massey products, induced currents and Borromean torus links ⋮ On asymptotic higher analogs of the helicity invariant in magnetohydrodynamics ⋮ On a new integral formula for an invariant of 3-component oriented links ⋮ HIGHER ORDER LINKING NUMBERS, CURVATURE AND HOLONOMY ⋮ Higher order topological actions ⋮ Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics ⋮ Invariants from classical field theory

Cites Work

• Infinitesimal computations in topology
• Homology and central series of groups
• Link groups
• Milnor's &   956; -Invariants and Massey Products
• Topological solitons and graded Lie algebras
• Viscous flow in smectic A liquid crystals
• Characteristic Classes. (AM-76)
• Higher Order Massey Products and Links
• Massey Higher Products
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